Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Circles |
Grade: 8-a Lesson: S1-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
An arc length in a circle is 20 cm, and the central angle corresponding to the arc is 120 degrees. Find the radius of the circle. |
|
2 |
Step |
Given |
s =20 cm and θ = 120° |
3 |
Formula: |
The arc length and the central angle |
\$r = (s / θ) times ((180°) / π)\$ |
4 |
Hint |
Substituting the given values into the formula |
\$r = ((20 cm) / (\cancel(120°)^2)) times ((\cancel(180°)^3) / π)\$ |
5 |
Step |
After simplification |
\$r = (\cancel(20)^10 / \cancel2^1) times 3 / π)\$ |
6 |
Step |
After simplification |
\$r = 30 / π\$ |
7 |
Step |
After simplification |
\$r = 9.55 cm\$ |
8 |
Step |
Therefore, the radius of the circle is 9.55 cm |
|
9 |
Answer |
B |
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